Question

What are the important points to graph `y=-(5/2)sin(2/3x)`?

Answer 1

As below.

Explanation:

`y = -(5/2) sin ((2/3)x)`

Standard form of sine function is `y = A sin(Bx - C) + D`

`A = -(5/2), B = (2/3), c = 0, D = 0`

`Amplitude = |A| = -(5/2)| = 5/2`

`"Period " = P = (2pi) / |B| = (2pi) / (2/3) = 3pi`

`"Phase Shift ' = -C / B = 0`

`"Vertical Shift " = D = 0`

graph{-(5/20) sin((2/3)x) [-10, 10, -5, 5]}